3622820475456 has 336 divisors, whose sum is σ = 13342290084480. Its totient is φ = 955468846080.

The previous prime is 3622820475433. The next prime is 3622820475487. The reversal of 3622820475456 is 6545740282263.

3622820475456 is a `hidden beast` number, since 3 + 622 + 8 + 2 + 0 + 4 + 7 + 5 + 4 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 544900 + ... + 2746371.

It is an arithmetic number, because the mean of its divisors is an integer number (39709196680).

Almost surely, 2^{3622820475456} is an apocalyptic number.

3622820475456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3622820475456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6671145042240).

3622820475456 is an abundant number, since it is smaller than the sum of its proper divisors (9719469609024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3622820475456 is a wasteful number, since it uses less digits than its factorization.

3622820475456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3291319 (or 3291296 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

The spelling of 3622820475456 in words is "three trillion, six hundred twenty-two billion, eight hundred twenty million, four hundred seventy-five thousand, four hundred fifty-six".